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Finding the Fourth Proportional to 24,000, 33,120 and 14,064

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Solution

The fourth proportional to 24,000, 33,120 and 14,064 is: 19,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 33,120 = 14,064 : x
  2. Step 2: Convert to fraction form
    24,000/33,120 = 14,064/x
  3. Step 3: Cross multiply
    24,000x = 33,120 × 14,064
  4. Step 4: Simplify right side
    24,000x = 465,799,680
  5. Step 5: Solve for x
    x = 465,799,680/24,000
  6. Step 6: Final answer
    x = 19,408.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.